In this paper, we enumerate the number of oriented rational knots and links with any given crossing minimum genus. This allows us to obtain a precise formula for average minimal genus number.

background: echinococcosis/hydatidosis is considered endemic in mauritania. the aim of this study is to present an epidemiological study on the echinococcosis in man and animals in the nouakchott region. methods: the internal organs from livestock carcasses were inspected for research of hydatid cysts. the hydatid fluid was examined for research of the protoscoleces. dogs were necropsied for th...

Theta graphs are important geometric graphs that have many applications, including wireless networking, motion planning, real-time animation, and minimumspanning tree construction. We give closed form expressions for the average degree of theta graphs of a homogeneous Poisson point process over the plane. We then show that essentially the same bounds—with vanishing error terms—hold for theta gr...

This work has been inspired by problems addressed in the field of computer security, where the attacking of, e.g., password systems is an important issue. In [2] Lundin et al. discuss measures related to the number of guesses or attemts a supposed attacker needs for revealing information. Similar problems are considered in [1], [3] and [4]. In this presentation numerical approaches are discusse...